232 citations · 1.2k across the 34 of their papers we have counts for
34 papers
Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations
A. Aleksejevs, S. Barkanova, A. I. Davydychev
Ab initio predictions of two-loop electroweak contributions to observables are increasingly essential for precision collider experiments, yet their evaluation remains very challeng…
Factorizing two-loop vacuum sum-integrals
Andrei I. Davydychev, Pablo Navarrete, York Schröder
We derive analytic results for scalar massless bosonic vacuum sum-integrals at two loops. Building upon a recent factorization proof of massive two-loop vacuum integrals, we are ab…
Recursion-free solution for two-loop vacuum integrals with "collinear" masses
Andrei I. Davydychev, York Schröder
We investigate the structure of a particular class of massive vacuum Feynman integrals at two loops. This class enjoys the linear relation between its three propagato…
Four-point function in general kinematics through geometrical splitting and reduction
Andrei I. Davydychev
It is shown how the geometrical splitting of N-point Feynman diagrams can be used to simplify the parametric integrals and reduce the number of variables in the occurring functions…
Geometrical splitting and reduction of Feynman diagrams
Andrei I. Davydychev
A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown that the geometrical splitting yields useful connections between Feynman integrals wi…
Exponential suppression with four legs and an infinity of loops
David J. Broadhurst, Andrei I. Davydychev
The L-loop 4-point ladder diagram of massless phi^3 theory is finite when all 4 legs are off-shell and is given in terms of polylogarithms with orders ranging from L to 2L. We obta…